Serkan ÖZTÜRK, Mohammad Reza GHASSEMI, Mahmut SARI

EMPIRICAL RELATIONS AMONG THE PARAMETERS ASSOCIATED WITH EARTHQUAKE RUPTURE MECHANISMS FOR IRANIAN EARTHQUAKES

In this study, we aimed to derive the new and more reliable empirical relationships among different seismic parameters associated with the earthquake rupture mechanisms for Iranian earthquakes. For this purpose, we firstly converted the surface wave magnitudes into moment magnitudes in order to prepare a uniform earthquake dataset. Thereafter, we estimated the empirical relationships between moment magnitude and surface rupture length, moment magnitude and maximum displacement, and surface rupture length and maximum displacement. These linear empirical equations were obtained by orthogonal regression and the goodness of fits were discussed in terms of the correlation coefficients. The results obtained by the orthogonal regression in this paper are compared with the results obtained by the least square method in the literature. The present study confirms that representations of statistical correlations among different earthquake faulting parameters can be given more clear and straightforward by the orthogonal regression as compared to the least square method. In addition, such kind of relationships may provide some significant insights for the calculation of the maximum surface rupture length, maximum surface displacement, and associated maximum credible earthquakes for different seismotectonic regions of Iran as well as the estimation of earthquake magnitudes in paleoseismological studies.

Keywords:

Iranian earthquakes orthogonal regression, least square method, correlation coefficient,

PDF

___

[1] Ghassemi, M. R. “Surface ruptures of the Iranian earthquakes 1900–2014: Insights for earthquake fault rupture hazards and empirical relationships”, Earth-Science Reviews 156, 1-13, 2016.
[2] Wells, D. L. and Coppersmith, J. C. “New empirical relationships among magnitude, rupture length, rupture width, rupture area and surface displacement”, Bull. Seismol. Soc. Am. 84 (4), 974–1002, 1994.
[3] Berberian, M. “Documented earthquake faults in Iran”, Geol. Surv. Iran 39, 143–186, 1976.
[4] Nowroozi, A. A. “Empirical relations between magnitudes and fault parameters for earthquakes in Iran”, Bull. Seism. Soc. Am. v75, p1327–1338, 1985.
[5] Berberian, M. “Earthquakes and Coseismic Faulting on the Iranian Plateau: A Historical, Social and Physical Approach”, Elsevier Series Development in Earth Surface Processes 17 p. 628, 2014.
[6] Öztürk, S. “Statistical correlation between b-value and fractal dimension regarding Turkish epicentre distribution”, Earth Sciences Research Journal, 16(2), 103-108, 2012.
[7] Öztürk, S. “A new empirical relation between surface wave magnitude and rupture length for Turkey earthquakes”, Earth Sciences Research Journal, 18(1), 15-26, 2014.
[8] Durio, A. and Isaia, E. D. “Parametric regression models by minimum L2 criterion. A study on the risks of fire and electric shocks of electronic transformers,” Develop. in App. Stat. vol 19, pp. 69-83, 2003.
[9] McCann, L. and Welsch, R. E. “Robust variable selection using least angle regression and elemental set sampling”, Computational Statistics and Data Analysis 52, 249-257, 2007.
[10] Carrol, R.J. and Ruppert, D. “The use and misuse of orthogonal regression estimation in linear errors-in-variables models”, The American Statistician, 50, 1-6, 1996.
[11] Giloni, A. Simonoff, J. S. and Sengupta, B. “Robust weighted LAD regression”, Computational Statistics and Data Analysis, 50, 3124-3140, 2006.
[12] Giloni, A. and Padberg, M. “Alternative methods of linear regression”, Mathematical and Computer Modeling, 35, 361-374, 2002.
[13] Weisberg, S. “Applied Linear Regression”, 2nd edn, John Wiley and Sons, New York, 310 pp, 1985.
[14] Leng, L. Zhang, T. Kleinman, L. and Zhu, W. “Ordinary Least Square Regression, Orthogonal Regression”, Geometric Mean Regression and their Applications in Aerosol Science, Journal of Physics, Conference Series, 78, 012084, 2007.
[15] Heo, J. H. Kho, Y. W. Shin, H. Kim, S. and Kim, T. “Regression equations of probability plot correlation coefficient test statistics from several probability distributions”, Journal of Hydrology, 355, 1-15, 2008.

Sigma Mühendislik ve Fen Bilimleri Dergisi-Cover

ISSN: 1304-7191
Yayın Aralığı: Yılda 4 Sayı
Yayıncı: Yıldız Teknik Üniversitesi

Arşiv